Paper Info
Title
Interval-valued fuzzy planar graphs
Abstract
In this paper, interval-valued fuzzy planar graphs are defined and several properties are studied. The interval-valued fuzzy graphs are more efficient than fuzzy graphs, since the degree of membership of vertices and edges lie within the interval [0, 1] instead at a point in fuzzy graphs. We also use the term ‘degree of planarity’ to measures the nature of planarity of an interval-valued fuzzy graph. The other relevant terms such as strong edges, interval-valued fuzzy faces, strong interval-valued fuzzy faces are defined here. The interval-valued fuzzy dual graph which is closely associated to the interval-valued fuzzy planar graph is defined. Several properties of interval-valued fuzzy dual graph are also studied. An example of interval-valued fuzzy planar graph is given.
Year
DOI
Venue
2016
10.1007/s13042-014-0284-7
Int. J. Machine Learning & Cybernetics
Keywords
Field
DocType
Interval-valued fuzzy graphs, Interval-valued fuzzy multigraphs, Interval-valued fuzzy planar graphs
Discrete mathematics,Outerplanar graph,Combinatorics,Fuzzy classification,Defuzzification,Fuzzy set operations,Fuzzy subalgebra,Book embedding,Fuzzy number,Planar graph,Mathematics
Journal
Volume
Issue
ISSN
7
4
1868-808X
Citations 
PageRank 
References 
3
0.55
16
Authors
3
Name
Order
Citations
PageRank
tarasankar pramanik130.55
Sovan Samanta214116.91
Madhumangal Pal347160.52